Lipschitz selections of the diametric completion mapping in Minkowski spaces

DOI10.1016/j.aim.2012.10.005zbMath1260.52004OpenAlexW1969766950MaRDI QIDQ1931842

Rolf Schneider, José Pedro Moreno

Publication date: 16 January 2013

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2012.10.005

zbMATH Keywords

diametrically complete setconvex body of constant widthBückner completionJung's constantsLipschitz selectionsMaehara completionspherical hulls

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (4)

Complete sets in normed linear spaces ⋮ Some geometry of convex bodies in \(C(K)\) spaces ⋮ Typical curvature behaviour of bodies of constant width ⋮ Porosity and diametrical completeness

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